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다중계층 퍼셉트론 내 Sigmoid 활성함수의 구간 선형 근사와 양자화 근사와의 비교
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  • 다중계층 퍼셉트론 내 Sigmoid 활성함수의 구간 선형 근사와 양자화 근사와의 비교
  • A piecewise affine approximation of sigmoid activation functions in multi-layered perceptrons and a comparison with a quantization scheme
저자명
윤병문,신요안
간행물명
電子工學會論文誌. Journal of the Korean Institute of Telematics and Electronics. C
권/호정보
1998년|2호|pp.56-64 (9 pages)
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대한전자공학회
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이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.
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기타언어초록

Multi-layered perceptrons that are a nonlinear neural network model, have been widely used for various applications mainly thanks to good function approximation capability for nonlinear fuctions. However, for digital hardware implementation of the multi-layere perceptrons, the quantization scheme using "look-up tables (LUTs)" is commonly employed to handle nonlinear signmoid activation functions in the neworks, and thus requires large amount of storage to prevent unacceptable quantization errors. This paper is concerned with a new effective methodology for digital hardware implementation of multi-layered perceptrons, and proposes a "piecewise affine approximation" method in which input domain is divided into (small number of) sub-intervals and nonlinear sigmoid function is linearly approximated within each sub-interval. Using the proposed method, we develop an expression and an error backpropagation type learning algorithm for a multi-layered perceptron, and compare the performance with the quantization method through Monte Carlo simulations on XOR problems. Simulation results show that, in terms of learning convergece, the proposed method with a small number of sub-intervals significantly outperforms the quantization method with a very large storage requirement. We expect from these results that the proposed method can be utilized in digital system implementation to significantly reduce the storage requirement, quantization error, and learning time of the quantization method.quantization method.